Accommodation
A lot of nice hotels are downtown Reykjavik:
Hotel Reykjavik Centrum:
http://www.hotelsoficeland.is/our-hotels/hotel-reykjavik-centrum
Hotel Centrum Arnarhvoll:
https://www.centerhotels.com/hotel-arnarhvoll/
Hotel Centrum Plaza:
https://www.centerhotels.com/hotel-plaza/
101 Hotel:
http://www.101hotel.is/
Radissonblu Hotel 1919 Reykjavik:
https://www.radissonhotels.com/en-us/hotels/radisson-blu-reykjavik-1919
Grand hotel Reykjavik:
www.grand.is
And many more... just google it!