The 25w weller can be found on amazon.com for about 15$ :
http://www.amazon.com/Weller-SP23LK-25-Watt-Soldering-Iron/dp/B0009ZD2AG/ref=sr_1_9?ie=UTF8&qid=1359266089&sr=8-9&keywords=soldering+ironGood and cheap Uni-T multimeters can be bought from eBay for 10$ and up (and they're perfectly good for someone that starts dabbling in electronics and works with low voltage only):
http://www.ebay.com/sch/i.html?_odkw=uni-t+multimeter+NOT+probe&_osacat=92074&_from=R40&_trksid=p2045573.m570.l1313&_nkw=uni-t+multimeter+-probe&_sacat=92074 My best advice to anyone that wants to start in electronics is to start with a breadboard, some perfboard (breadboard like pcb), some quality solder wire and a decent solder station like Hakko 936 or Hakko 888. If you're lucky to be in US, the Hakko is 80$... which is cheap for its quality.
Watch some tutorial videos on youtube, some simple circuits, and DO them on breadboard, then move them to perfboard... this way you get experience soldering and so on.
If needed, start with some simple circuits like a simple linear regulator on perfboard... it's enough to open the datasheet for a lm317 and make the example circuit on perfboard and you have your adjustable power supply (that you can power from a phone charger or your computer's power supply). You'd be proud you made something by yourself, and it also helps you power other experiments.
Yes, a soldering station is somewhat expensive but it will last you for years and you'll be able to sell it without much loss, and with a cheap solder iron you'll only be disappointed or discouraged frin experimenting when you have issues soldering.
I had no need for wirestripper, I have one now but even so I still often just use an utility knife (those things with retractable blades). They're cheap. Instead of cutters, in a pinch you can use some nail clippers, the leads are thin enough and soft enough to be cut easily.
Breadboard wires can also be bought cheaply on eBay, but if you want you can get some network cable that has solid strand wires, strip the jacket and you have 8 different colors.
Tweezers can help, but these can be bought at any store that sells stuff for women - sure, ideally you'd get esd safe tweezers and so on, but for small simple experiments until you gain confidence, any tweezer will do.
You don't need helping hands, you'll only be frustrated with the poor quality. I got some from eBay and I rarely use them. They're not heavy enough to keep the board or whatever's connected to it in place when soldering, it moves or bends on the desk.