i did the much the same - tremendous bump in SQ… this can be done for approx $50 with the following equipment which i bought from fiberStore (fs.com). highly recommended and if needed you can have them confirm compatibility of all the pieces by contacting their support.
media converter - FS 2 x Unmanaged 10/100/1000Base-T RJ45 to SFP GbE
SFP transceiver - FS 2 x 1000BASE-LX/LH 1310nm 20km DOM SFP module
fiber cable - FS LC/UPC duplex OS2 Single Mode PVC 2.0mm
if interested, you can see my exact implementation here: