At this point in time, there's a bit less than 300 LUAL furloughees that will have to be offered jobs at LCAL. The junior LUAL furloughee who accepts should be in class no later than the end of October.

LCAL is attending a job fair in Vegas in April. I recommend that you either go there or make sure that someone can drop off your resume at the job fair. FltOps.com: Pilot Job Fairs

Assuming no new contract anytime soon (a new contract might cause a bunch of bypassing furloughees to return), the LCAL side should have off the street hires by the beginning of November.

LUAL has had near zero retirements since age 65 went into effect ... I've watched the monthly numbers and it's averaged a bit more than 1 retirement per month. So when age 65 retirements kick in, the LUAL side should see 20-25 retirements per month indefinitely. For LCAL, my understanding is that the numbers are slightly less but similar.

At this point, I'd say that the combined United is way behind the power curve on hiring and it'll probably take them quite a while before they can drop hiring down to 50/month.
If you get hired in the next year or so, you're almost certain to have a MUCH better career than me (furloughed 8 out of 12 yrs). Barring something extraordinary, you probably wouldn't ever see a furlough.