If you are using Arvixe and using WebSite panel as your control panel.
You can forward your emails from the settings in the mail section.
If your current hoster stop forwarding emails another option instead of switching hosting providers would be to
use a 3rd party email hosting provider that allows forwarding by changing your Email DNS settings in your web hosting DNS records.
Key word here is "Email Hosting Provider" and not an Email provider.
Google Apps offers this option.
In my experience if you are sending and receiving a lot of emails.
It is best to use a 3rd party as your email provider in stead of using the default web hosting/hoster email server.
Here is a sample of a "Web" DNS record
mail 220.127.116.11 <---- Put 3rd Party here
mail2 18.104.22.168 <---- Put 3rd Party here
MX , mail.be.kbdavis07.info
MX , mail2.be.kbdavis07.info
When a web site is hosted it uses 4 different servers.
Normally when you get your website hosted from a hosting provider they provide you these 4 servers under one roof.
All your "eggs" are in one basket.
Sometimes if one goes down it takes the others with it.
For ease of use and for low to medium level service levels this is ok.
But, if you have high volumes of traffic or email or you need 24/7/365 uptime and email is very important.
You might want to use an 3rd party email provider.