A smooth FBR requires patience and practice but it's possible.
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My best tips are to use a soft, flat brush (I prefer fan-shaped, in my experience they leave less strokes and make it easy to reach difficult places like between the legs) or a makeup sponge for smoother results, and to use primer like gesso under the paint. Thin your paint with water - you may do one or two coats with thicker paint and add more water as you continue. Keep brushing in several directions until your paintbrush is almost dry, blending the edges of the wet paint and the unpainted areas so you'll get thinner layers and less brushstrokes. Let each coat dry properly before adding another one. You may give it a light sanding with fine grit sandpaper (~1000) between coats if needed. If there are any visible strokes or creases after sanding, try dry-brushing some thicker paint where needed and continue with watered-down paint that will help to fill the creases. Don't be discouraged if it looks awful at first. The more coats you add, the smoother the result will be. I rarely have patience for more than 8-10... ^^'