- if I want to completely change my rear drivetrain the steps . . . are :
1. Buying new rear wheel. Here, I think the most important informations I need are :
- the OLD of the hub (which must be level or narrower to my frame spacing)
- what hub is (for cassette or freewheel)
- what axle (to fit with my frame)
2. Buying (using) a freewheel or cassette for X speeds according to the hub
3. Buying (using) a RD according to the freewheel or cassette and according to my frame (direct or on axle)
4. Buying a shifter according to RD
1) You do not need a new wheel. Your current wheel
you have said (with spacer) is 130mm OLD, and that dimension is the same as the
distance between your drop outs. If you want a 6sp drivetrain you need a
6sp freewheel block. This will screw onto the current wheel (once you've removed the 5sp block).
2) 6sp block needed, though you could carry on with the 5sp block - see my posts above on work-around. NOT
a cassette (you can't get 6sp cassettes anyway).
3) The Shimano RD-TY18 rear derailleur will be fine whatever.
4) The Shimano Tourney Shift Lever SL-TX30-6 will be fine whatever (6sp or 5sp with work-around)
Equipment as listed in OP. If you want to go 7sp, the parts needed will cost more than the bike is worth (I'm guessing).
AASSIA (freewheels)
https://sheldonbrown.com/freewheels.html
Recommend read through at least twice before removing 5sp block (I use a vice, leaving the tyre inflated on the wheel, for grip).