Seedlings small...anxiety

It's May 5 and I'm concerned my seedlings will not survive transplanting to the garden next weekend.  Also I'm about 2 weeks behind last years schedule.  This is mainly due to just other stuff I've had to do, but there was not way the seedlings were ready either.  Most seedlings are still about 3 inches high with just a few secondary leaves.  Also the water may not be hooked up yet in the big garden.   I'll need to water everything well when I do plant of course, else it will be in vain...