I have got Nexus 5 recently with a new micro LTE sim card. I got this new phone because, my old nexus 4 had signal problems frequently dropping. But this is happening to newly bought Nexus 5 too. It is happening when i am in my house. Called customer care and they said there is no problem in signal strength at my place. BTW, am living in downtown Toronto.
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No provider can guarantee indoor recpetions.
However, you can try following methods to get a better reception if there is an issue related:
1. Reset phone to factory setting.
2. Turn off LTE mode.
3. Ask an fido agent to do a server side reset ( resend to switch).
4. Change sim card/phone.
I suggest you try first 3 methods first, especially the 2nd.