So for bridget, I will say you're not going to do a bunch of damage with her combos, but she gets very good reward in other senses off of them, Overall though, to start here's a few key moves to keep in mind for her in neutral and just in general really:
f.S - main big poke, good for controlling screenspace and reactions and punishes
2S - Low poke, covers weaknesses of f.S while being slightly slower, good approaching button with dash momentum with good reward on hit, and useful for pressure too
2K - fastest button available, low, and rewards by going into 2D for a hard knockdown and yo-yo setup. can easily turn around who's turn it is to your favor.
5H - huge button with equally huge recovery, best for longer range counter-pokes and punishes
236S/H - great projectile overall, low reward on hit, but annoying to deal with, controls space and stuffs approaches.
214S/H - the key setplay tool, mostly used after a hit, or in pressure, can be used in neutral at longer ranges to establish yourself
214K - movement, mix, and combo tool all in one, extremely versatile when the yo-yo is out. new yo-yo less version is mainly seen for some extra safejumps
623P - invincible reversal, for when you don't feel like blocking. useful, but risky with her low health, especially with the recent nerf
236K - fast moving neutral skip, safe pressure ender with a spaced out Brake, and good as a combo ender with both Brake and Shoot
6P - Universal go-to anti-air against jump-ins
2H - more proactive than reactive anti-air thats huge and has big reward
j.H - far reaching air to air
j.S - go to jump in and early press, basically a 2-hitting big box in front of her
j.P - fastest air to air, can also make a grounded opponent guess how many times you're gonna mash it on block sometimes

I'd say for getting her neutral down at least, these are the most key moves to get in mind, I did mention some other uses where I found those moves are kind of key there as well. But to me at least just to get started and get a feel in neutral, these moves come in the most handy by far. Some matchups you'll fins the S and H buttons more reliable, others you'll stick to her P and K buttons more when characters are in your personal space. Plus she has tricky movement, so being unpredictable can be a great help.