I am getting the EF-S 18-135mm 3.5-5.6 IS USM & EF-S 55-250mm f/4-5.6 IS STM with my 77D. What are some other lenses that you all suggest might be good to have as well?
I keep hearing about the "nifty fifty" one. But I see two different ones and prices for it.
Canon EF 50mm f/1.8 STM
Canon EF 50mm f/1.4 USM
Will the EF-S 18-135mm 3.5-5.6 IS USM be good enough to start with and then later go on to other lenses?
Welcome to a fantastic hobby! I have loved photography for decades, I have learned from photography things which guided my career in technology, helped me become creative, meet wonderful friends, express myself... it's really fun.
It's not yet time for you to get a new lens. Stick with the 18-135mm. That 55-250mm is only if you go out to shoot a sporting event like soccer, football or baseball, or if you want to shoot pictures of birds or animals at the zoo. 99% likely you're going to be using that 18-135mm. Keep it on your camera. Don't put a filter on it; they will reduce image quality.
After 35 years of photography, here is my equipment advice to you: After 35 years, I still sign up for photography seminars delivered by professional photographers, and they are BY FAR the best investment in improving my photography. There are a million different ways these guys teach. Usually it's just a lecture hall with slides, but other times there are walkaround photo tours. The walkaround tours cost more because they can't pack in 100 people.
Photography is all aperture, shutter speed, focus, composition... forget about new equipment. You have a camera that's like the Space Shuttle. It's got unlimited capability just as it is. It is possible for you to keep that camera and lens for ten years, and never buy anything else.
Now I'll talk a little about equipment, but remember something: Using VanGogh's paints doesn't make you VanGogh. You should really just use the equipment you have for a year or so until you develop a working style and learn what works for you and what doesn't. You have a LOT to learn.
My rule for buying new equipment (which, admittedly, I've broken...) is to wait until you're out taking shots and you realize yourself what's deficient in your lens or camera; "Where am I hitting the wall?"
There are a few lens areas where you're deficient. The first is that you have no wide-angle (yet). Canon makes a nice 10-18mm STM lens which complements your 18-135mm. I go ultra-wide maybe 5% of the time. So it's great when you need it but you can take so many shots without it.
The second area, which you've noted, is that you don't have a "prime" lens. It's important to understand what a lens like that can do before you buy one. Most people think those lenses will help with indoor shooting, because of their faster aperture. WRONG. They don't know what they're talking about. This is why the seminars are so useful. Photography is about one thing, and one thing only: Light. Your camera captures light. If you don't have any light, the camera won't fix the problem. The photo will look bad. Don't buy a fast lens to give you better light. Buy lighting equipment for that.
The benefit of the fast aperture lenses, like the f/1.4 and the f/1.8, are that with a fast aperture and/or longer focal length, there is very little depth of field. This capability often comes into play when photographing people, because it isolates them from the background; they stand out and the eye is drawn to the subject, and distracting background elements such as windows or lights disappear into a warm, creamy-looking blur.
Personally, I don't like any of Canon's 50mm lenses, and here is why:
f/1.8: Not quite fast enough to always defocus the background; and it's a low-cost design
f/1.4: Beautiful quality, better aperture blades improve the out of focus look. But it's notoriously poor focusing unless you use only LiveView mode. I have this lens and hate it, even though I've taken my best shots with it. Fix this lens, Canon!!!
f/1.2: Absolutely fantastic for portraits, but very expensive ($1,000) and its focus performance is reputed to be very slow, so you miss shots.
Many photographers are buying Sigma's 50mm f/1.4 lens instead. But I purchased Canon's 85mm f/1.8 lens, and I really like it. It's cheap, small, it focuses very accurately, and the longer focal length makes the background blur effect come out very well. Canon also makes an 85mm f/1.2, which is reportedly much better, but that lens is $1,900. Not gonna happen. BUT, I shoot full frame, and with your crop sensor camera, an 85mm lens is mostly going to be for subjects some distance away, such as at concerts, or for head-size portraits.
You have that 18-135mm lens. Use it and when you have shots you like, look at their "EXIF" info to figure out what you did right. What was the focal length, the aperture, the shutter speed? Maybe 85mm is your favorite place. If you're always shooting 18mm, then maybe an even wider lens, or a sharper, wide angle prime lens will be better.
The answer to your question is that you should shoot, learn from it, take some seminars, and then buy the paintbrush that's right for you, not somebody else. When you have that understanding, we will be able to help you pick out the good lenses from the bad ones.