The Hi-Jacking thing is no problem

Money wasn't a big deal, the Paladin got Skinning + Mining and the Mage Tailoring+Enchanting.
The Palamount @lvl30 was for free and the auctions of copper+tin+leather were so successfull, that i had
enough money all the time. Also the disenchanted items bring you alot of profit (Greater Nether Essence = 20g / Piece!)
I leveled both teams from 0-14 in the starting zones, after that i only grinded instances:
14-18 -> Ragefire
18-24 -> Shadowfang Keep
24-27 -> Black Fathom
27-30 -> Razorfen
30-40 -> Scarlet Monastry (started in graveyard and so on)
40-42 -> Razorfen Hills
42-47 -> Zul'Farrak
47-51 -> Maraudon
51-57 -> BRD (<3 that instance)
57-60 -> Strat & Scholo (imho scholo is a bit easier)

On the second team i also did WC and Uldaman (nice leather drops here)

Of course i grab all the quests for the instances, which required no PreQuests...
the gear i used was only tailored or from instance-quests and bossdrops, i did not waste money in the AH!

/played was about ~2Days when i dinged 60, realtime playtime was about 1+1/2 Week

I had no difficulties, 99% of the bosses are tank+spank.
Jandice Barov (Cellar Boss Scholo) is a bit nasty, due to the fact, that you loose her target, when she created the clones -> a macro helps /target Jandice Barov

Other Tips - not really
just get it started and you will see, that it is not so complicated as it seems

Your computer should be fine, mine is a bit slower and i had no problems running 3 WoWs (1 @ high settings and 2@medium settings)!

Addons&Setup?

I used Jamba + Recount + xPerl + SCTD (added the fix, that it displays the whole damage of the group - very nice)

I hope i could help you, if you have other questions do let me know

(and sorry for the bad english )