Tinker is practically useless atm, effectively giving 0.1% extra xp per rank (max 0.3%). It will likely get a buff soon. Mod Ryan is currently considering 5% chance (per rank) for 25% extra xp, effectively making it 1.25% XP boost per rank (max 3.75%).
If it does get the buff, you're probably gonna want Tinker and Rapid on hammers and Pyromaniac and Rapid on tinderboxes. If it doesn't get buffed, Wise is better than Tinker.
Prosper is completely useless, at least for mining alea crablets (10 hours without a single clue from it so far).
I'll add these perks as toggles to the GP/XP calculator after DXPW (possibly earlier, but kinda busy until then) so you'll be able to easily compare how it affects the XP/H