I'll also pile on and say go for it. The products are great and the support from Cris is outstanding. Enough has already been said about all that.
I think you may be slightly overestimating your budget though. Unless you want a soldering station / stand, etc. just a simple, cheap 15W iron is fine. This one has built in lights for under $15
https://www.amazon.com/dp/B00B3SHFXI/?tag=skimlinks_replacement-20 (i don't own it, but the brand is good)
Then just add a helping hands like this one for ~$7
https://www.amazon.com/dp/B000RB38X8/?tag=skimlinks_replacement-20
and a pair of tweezers $10
https://www.amazon.com/gp/product/B00ZOMV18E/?tag=skimlinks_replacement-20 These are pretty nice (to me), but you can probably find others, cheaper. Just make sure they're heat and electrical resistant.
Eggtimer Classic = $40 + $3 shipping
iron = $15
stand = $7
tweezers = $10
total = $75
With a setup like this (plus a sponge to clean the iron's tip) I've assembled a Eggtimer classic, Quark, Quantum, Eggfinder, and an LCD reciever. The $32 investment in tools is well worth it if you end up purchasing more than one of the Eggtimer products. Plus, I find it enjoyable to sit down and solder one of these guys together. It's worth checking out a few videos on youtube for technique if you haven't done much soldering, especially for the surface mount stuff, but a few simple tricks will go a long way.
For what it's worth, I choose to spend an extra $15 and get a little more than just a pen (
https://www.amazon.com/gp/product/B00ZOMV18E/?tag=skimlinks_replacement-20) which is convenient to me, but doesn't have the lights on the weller, and I needed to buy a separate tip.
(This is turning into a book...)
I'd also suggest trying a small chisel tip if you have the option or want to spend a touch more to find one. I bought a 1.6mm Chisel Tip for the Aoyue and found it worked better for me than a fine point tip for some of the work (SMT mostly)
Heck, if you lived nearby in MA, I'd do it for you for free, or let you use my equip. PM me if you have any questions, maybe I can help.