I also use the FFF along with a rare Fel Flame.. Depending on the RNG, I can take out the bear and put a hurting on the mechanopeep before the FFF goes down.. Bring in Flame to finish him off, then switch in the lowbie.
However, I usually on use lvl 20's or so.. and I usually win it..
I dont know if I have the leet skillz to use a lvl 1
If you level your lowbie up to lvl 5 at least, you might manage to take a hit on some trainers. Preferably, have a lvl 10 to be safe. You could level lowbies up a bit by killing lvl 1 critters, and doing the daily quests in lowlvl zones such as the guy next to the bridge in westfall bordering elwynn.
If you want to level up a lowlvl pet quickly, your safest bet is to have him up to 300 hp or so and fight farmer nishi. Start with the lowlvl, then switch to your lvl 25's. If you start out with the turnip, you will take about 150 dmg from him before switching, and then get the hit from the sunflower for about 250. You have to ensure having enough hp to survive that (at least lvl 5 I think), or you could flee the battle and start again to get the sunflower up first. As lvl 25's vs nishi, eternal strider etc. is awesome (rainy weather, pump, kills the two first elementals quick, and done correctly you also finish off the last pet). Darkmoon zeppelin (or any other mech) to finish off the last pet.