Yeah, a good Amp is more important than even which Guitar you use! Not even close. So, I'd suggest a serious Amp, first.
Do you want to play mostly at alone, or with Drums, etc. ? That would be a big factor as to what amp to get.
But, one great choice would be a Peavey Classic 30, or Classic 50. Good workhorse Amps, with great Tones.
And pedals? Yeah, TS, Rats, and just about any BOSS ODs are staples of most Players' Rigs. BYOC also has some GREAT options, if you can do basic soldering. Fun to build your own, too! Their TS Style Clone has a bunch of great options, when building it. Lots of possibilities.
After OD/Distortion/Fuzzes, I'd probably say a good Delay Pedal will yield the best bang-for-the-buck. Again, BOSS makes a solid selection. And some of the Line6 and the Digitech ones are good, too.
But, I'd probably get a great Tube Amp first. The way a good amp responds to your Touch and Playing, is like having extra Effects, already built in.
Early 80's 1957 U.S. Vintage Reissue Stratocaster (Surf Green)-Warmouth Soloist Pearly Gates Neck, Pearly Gates Bridge- Larrivee D-03 (Mahogany/ Spruce)
Carmen Ghia Head- Marshall 112 Cab W/G12H 30 or Custom 4 X 6v6 Head or Budda Twinmaster Plus Head-Traynor 212 Cab w/Eminence Texas Heats.
Mo'D-Eternity-Blues Pro- Timmy-BYOC Chorus/Vibrato- TC SCF- Korg DT 10 Pedal Tuner