I have personal experience in both are hosting both are the company providing good web hosting service as per to compere wp-engine hosting plan is a very high both web hosting providing 24/7 Support in uptime 99.98% given HostGator and Wp-engine most service providing company So I will recommend for you you can use this hosting lot of feature and good benefits are there Powerfull support and lot of opportunities are given Domain Facility also etc.
Both are the company is given online business journey HostGator providing is good uptime and 24/7 support any time and anywhere this company providing a better than VPS as per to compere to any other company and more important point HostGator plan is low price plan as per to compere Wp-engine hosting the best speed and suppose if you are beginner that time I recommend for you can buy a small plan and make your website wordpress throw run your website and blog.
HostGator is providing a basic plan 159/mo and one single domain. 10 GB Disk and 100GB transfer and including 5 Gmail account like a baby and other so many plans this company this are given so many feature plan, so many plan option are available if anyone plan you are comfortable you can choose the easy plan, etc.
wp engine is starting plan $29 dollar is the first plan in the wp-engine hosting plan which plan you want you can choose the plan like so many plans are available 10GB including 1 free SSL certificate are given which plan you want you can choose the anyone plan I have already told wp-engine web hosting plan is a very costly but so many features are there additional option are there.