Changing your website hosting service to a new host does not have any Direct Impact on your Site in Search Engines, Although moving to a low quality hosting service will.Setting your Time to live for as short as possible is recommended when moving your website to a new website hosting service.Before moving to a new web host change your TTL as Matt Cutts explains in the Video that Changing your Host is not the same as Changing your Domain Name but their is a chance that you could be penalised if Google Caches your old IP. As explained in the Video Try to keep your Domain live with Both Hosting Services for 24 hours to insure that you will not be effected when switching website hosts.

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