I'm a bad villain... offcourse my pets 
Now serious, depends on the team and your pets. Bots and Merc can heal themselfs, necro has leech. /Dark has aoe heal and /poison you can spam very fast.
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(50)MaceX/(50)Encore
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Depends what kind of pet you have, and who else is on your team with heals. If you're a Bot/dark, then you'll probably be standing in with your bots anyway so its fine to hit your heals in amongst all your henchies (unless of course you see someone going down in the fray, then you might want to jump in and give them a quick heal). But if you're playing with ninjas, and you have several ranged players and a /Kin on your team, you're probably better to stay near the other ranged toons and let the kin keep your pets alive. Just remember that (generally) the other players/healers won't know how much health your pets have, only you know whether the pets or other players are closest to death.
Team first, bots second normaly.
In most cases im normaly healing the brutes and my bots, the rest rarely get hit due to the aggro drawing brutes.
Saying that stalkers need a bit love sometimes too.
Depends on who needs it.
Personally, keep yourself alive first which means keeping your bots in tip top condition, if you get chance to fire a heal off on to a teammate, i'm sure they'd be thankful!
"Like War_Hero said, leave it as it is, it toughens up the softies." - Naz Nomad
Union Heroes
War Borg - Leader of The Paragon Knights
Union Villains
McCabe - Co-leader of The Rogue Knights
Defiant - Supreme Hero
Teammates. Bots are easy to resummon if needed =)
Whilst I do help teammates whenever I can, my zombies are top priority.
I go with my pets as first priority as without them means no BG mode, and no BG mode officially makes us MMs swuishy as hell.
Team first, zombies second always. After all zombies don't get debt and are quick to summon back. I'd be pretty upset if I was left to die so a wretched Zombie could be saved.
Not that I'm very good at it as Calam found out a few times on my mayhem mission yesterday. Yay for Howling Twilight.
I've said it before and I'll say it again :
"Damn it Jim, I'm a necromancer not a doctor"
Who do you heal first: your team mates or your pets?