Apply for as much as you can and accept the first offer that is made. I recall seeing one of my peers from my ATPL days, get left by the wayside and never get that first break, after being a little too choosy.
The first time I flew anything advanced with decent automatics and an autothrottle, was when I started flying widebodies. I started out on props and then moved onto the 146 (which is old!!!) and my experience never held me back at all. I would have donated a testicle to start on the E135/145 with bmi and witnessed a friend that did so in awe.