Typical order of certs to get.
Fundamental Basics: A+, Network+, MOS (Microsoft Office Specialist. I know this isn't very IT related; however, many tier 1 - tier 2 jobs mention Office experience & knowledge, so this cert can seriously add to standing out; I sat in for a co-worker's MOS class that he was teaching and I saw so many Office tools & functions I had never seen before.)
(Almost all entry level will ask for A+ OR experience. I think you might as well get Network+ if you get A+; especially when you want to get into networking eventually.)
Fundamental System/Server: MCSA
Fundamental Network: Network+ (if you haven't gotten it yet right after the A+), CCENT
Mid-Level System: MCSE (this could possibly help even at entry level but I doubt it since this usually applies to some experience)
Mid-Level Network: CCNA (no point when entry level; low chance of securing a mid-level job that asks for CCNA. I'd earn it while working my entry-level IT job)
This is when you start getting specific. You're probably going to know way more about IT than me at this point since I'm still at a CCNA level with 2.5 years of experience.
Upper-Mid Level System: MCSE (Private Cloud, Exchange, Sharepoint, SQL, Lync, etc)
Upper-Mid Level Network: CCNA (Security or Voice)
(By this point, it really does get very complex since there are so many routes. If you go Voice, I recommend other Networking standards as well including MCSE, etc.
If you go Security, there are so many to choose from including: Security+, CEH, CISSP; while also learning other routers, switches, PBX systems, etc. I also strongly recommend learning a few Linux OS's along with command lines.)
By this point, it's all CCNP, CCIE, etc; but this is years and years down the road and there's really no use when you're working for a company at a high level anyway; they'd probably pay for our training anyway.
Important: Most of these certs expire after 3 years, so it is probably a waste (and a risk) to try to go all out and try to get the higher level certs. A+ and Network+ should be fine. And seriously... I know plenty of people with certs that never get a decent job even years down the road. Lots of times, it's the people who network (I mean social networking), take the initiative, and get that experience who get the jobs.