Here are some low cost Audio packages that work well...
1) Sony Core = You can use these for all speakers except subs and center channel, though the Sony Core subwoofers are also decent.
Then any Sony Core center (not regular Sony) for the rest. You can also use the Sony Towers if you prefer larger speakers in the front (https://www.bhphotovideo.com/c/produ...xoCGCgQAvD_BwE
Then any Infinity Bookshelf for the rest of the speakers, and Infinity center.
Then any Polk Bookshelfs for the rest, and Polk Center.
I haven't met anyone that dislikes Infinity or Sony Core speakers yet for Home Theater, they are both fairly neutral sounding speakers and have clear audio for home theater.
Spend the money on the subs and projector, use Infinity or Sony Core for the regular speakers is my suggestion. Note that I own Infinity, Sony Cores, and Polks (among others), so I have listened to them for over a thousand hours. Per Sony Core vs. Infinity, man it's a tossup, depends on the room which one will be best, they are close. For the price you can sometimes get the Sonys for, they are unbeatable IMO, nothing comes close. I also own Dayton Audios, Monoprice speakers, Bose, and a bunch of others. Sony Core are way better for HT than their price suggests.
There are some very very high-end speakers that sound way better for music and worse for home theater, DIALOG CLARITY is most important for HT speakers, whereas for music it's AMBIENCE and depth.
So it's two different uses, the best HT speakers won't often be the best for music.
For HT the most important is the center channel, the 2 fronts, and the subs. The rest is just a filler most of the time, don't really need matched (though some may disagree),
but Sony Core is so cheap you can just use all Sony for everything. Not sure about the Sony's center channel as that is ONE I do not own (have the Infinity center).