Lots of folks have done that loop in the last year or so, you can find trail updates for the three specified trails on the Ventana Wild website.
Generally, the Salmon Creek trail is pretty clear and easy to follow up to Estrella Camp. Not as many folks go beyond and therefore the upper section doesn't get worked/cleared as often. Expect to have to do some bush whacking, route finding and possibly climbing over deadfalls or traversing sketchy sections where the trail has slid away once you're past Estrella.
Cruikshank is similar; the lower half or so is generally in good, clear condition. The upper section doesn't sound like it's currently as bad as upper Salmon Creek Trail but I'd at least expect to have some brush crowding in on the trail and the occasional deadfall. Signage up around the intersection of the Coast Ridge Rd and the Cruikshank trail is minimal or non-existent, so pay attention to where you're heading.
Buckeye Trail will be clear and easy to follow. Perhaps some encroaching brush, especially in the shady areas, but otherwise easy walking.
A couple notes about taking dogs on these hikes: Big Sur has a lot of poison oak and in the spring can have a lot of ticks. Walking the trails, even the clear ones, you will encounter lots of both. If you are allergic to PO (most people are), you will want to carefully consider whether to bring your dogs. The dogs plow right through the stuff and aren't affected but the nasty oils stay on their coat. They will inevitably spread those oils onto anything they touch (you, your clothes, your tent, your car, etc.) and then when you touch this stuff, you have a good chance of getting the itchy rash (similary, if you get the oils on your hand and then touch other parts of you, you can spread the rash).
Be sure to check your dogs over for ticks thoroughly throughout the hike. With the thick double coats on labs, you usually have a little time to find the ticks before they attach themselves. Lyme disease is supposedly rare in our area but at least a few cases have been confirmed. Consider putting your dog on some kind of tick treatment like Vectra; it will kill any ticks that try to bite your dogs, nonetheless, your best defense is a good offense; try to keep the dogs on the trail and out of the brush and pull off any ticks you find right away before they get too embedded.
Also keep an eye out for rattlesnakes once we get into the warmer weather. A lot of the trails are narrow in Big Sur and walking around an angry rattlesnake is not always easy. I'd recommend keeping your dogs leashed while hiking on the trails so as to hopefully better control their wanderings and avoid interactions with an angry buzzworm.